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5428930800 = 2435219317681
BaseRepresentation
bin1010000111001011…
…01110100011110000
3112000100111021000010
411003211232203300
542104301241200
62254412454520
7251351102406
oct50345564360
915010437003
105428930800
112336543077
12107617a440
1368698c5b7
14397037476
1521b932150
hex14396e8f0

5428930800 has 240 divisors, whose sum is σ = 18898949120. Its totient is φ = 1327104000.

The previous prime is 5428930799. The next prime is 5428930861. The reversal of 5428930800 is 80398245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702960 + ... + 710640.

Almost surely, 25428930800 is an apocalyptic number.

5428930800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449474560).

5428930800 is an abundant number, since it is smaller than the sum of its proper divisors (13470018320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5428930800 is a wasteful number, since it uses less digits than its factorization.

5428930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5428930800 is about 73681.2784905365. The cubic root of 5428930800 is about 1757.5381817343.

The spelling of 5428930800 in words is "five billion, four hundred twenty-eight million, nine hundred thirty thousand, eight hundred".